Characterizations of fractional order K-functionals and its applications

• Grant number: 16/02847-9
• Support Opportunities: Regular Research Grants
• Start date: June 01, 2016
• End date: May 31, 2018
• Field of knowledge: Physical Sciences and Mathematics - Mathematics - Analysis
• Principal Investigator: Thaís Jordão
• Grantee: Thaís Jordão
• Host Institution: Instituto de Ciências Matemáticas e de Computação (ICMC). Universidade de São Paulo (USP). São Carlos , SP, Brazil

Abstract

The main goal of this project refers to characterizations of K-funcionals (with fractional order) defined for functions on the euclidian space and on unit sphere. First of all such characterization is intended to be via a new average operator given by a convolution between a distribution and certain dilations of usual Lebesgue measure induced on the sphere. (AU)

Scientific publications

(References retrieved automatically from Web of Science and SciELO through information on FAPESP grants and their corresponding numbers as mentioned in the publications by the authors)

CASTRO, MARIO H.; JORDAO, THAIS; PERON, ANA P.. Super-exponential decay rates for eigenvalues and singular values of integral operators on the sphere. Journal of Computational and Applied Mathematics, v. 364, JAN 15 2020. (16/09906-0, 16/02847-9, 17/07442-0)

JORDAO, THAIS; MENEGATTO, VALDIR A.. Kolmogorov Widths on the Sphere via Eigenvalue Estimates for Holderian Integral Operators. Results in Mathematics, v. 74, n. 2, JUN 2019. (16/09906-0, 16/02847-9)